The electrode potential constitutes a dynamical variable whenever an electrode is resistively coupled to the electric circuit. We show that at the nanoscale, the discreteness and stochasticity of an electron transfer event causes fluctuations of the electrode potential that render all elementary electrochemical reactions to be faster on a nanoelectrode than predicted by the macroscopic (Butler-...

In this paper we present an efficient algorithm for the thermal simulation and design of multichannel power semiconductor devices. The simulation workflow starts with a finite element discretization of the heat transfer equation. In a second step, the resulting large system of differential equations is approximated with a reduced order model by means of the Arnoldi algorithm. The reduced order ...

We have developed a web application for the simulation in the field of electro-biology, particularly, for the analysis of a weakly electrically active fish. We investigated the charge relaxation due to the electric activity of the fish. The governing relaxation equation is discretized with the finite volume method. The discretized equations are then implemented using a generic scientific simula...

objective: in this article, a numerical study is conducted on mixing of two fluids in the liquid phase with two different concentrations of a chemical species in the electro-osmotic flow. methods: the base liquid is an electrolyte which flows in a two-dimensional micro-channel having electrically charged walls. lorentz electric force, which is used as stimulating flow factor, is created by appl...

Even though dynamic programming offers an optimal control solution in a state feedback form, the method is overwhelmed by computational and storage requirements. Approximate dynamic programming implemented with an Adaptive Critic (AC) neural network structure has evolved as a powerful alternative technique that obviates the need for excessive computations and storage requirements in solving opt...

Electro-thermal simulation of superconducting nanowire avalanche photodetectors Francesco Marsili, Faraz Najafi, Charles Herder, Karl K. Berggren Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139, USA. Kavli Institute of Nanoscience, Delft University of Technology, Lorentzweg 1, 2628CJ Delft,...

Classical model Sdc of Dirac particle SD is constructed. SD is the dynamic system described by the Dirac equation. Its classical analog Sdc is described by a system of ordinary differential equations, containing the quantum constant h̄ as a parameter. Dynamic equations for Sdc are determined by the Dirac equation uniquely. Both dynamic systems SD and Sdc appear to be nonrelativistic. One succeed...

We present a Hilbert space perspective to homogenization of standard linear evolutionary boundary value problems in mathematical physics and provide a unified treatment for (non-)periodic homogenization problems in thermodynamics, elasticity, electro-magnetism and coupled systems thereof. The approach permits the consideration of memory problems as well as differential-algebraic equations. We s...

a novel computational fluid dynamics and molecular kinetic theory (cfd-mk) method was developed to simulate the impingement of a nanodroplet onto a solid surface. a numerical solution of the navier–stokes equation using a volume-of-fluid (vof) technique was used to model nanodroplet deformation. dynamic contact angle during droplet impact was obtained by molecular kinetic theory. this dynamic c...

The paper discusses a problem of stochastic optimal control of a linear singledegree-of-freedom system subjected to external sinusoidal and white noise excitations. An external, bounded in magnitude control force is introduced into the system to reduce mean system response energy. The dynamic programming approach is used to derive the corresponding Hamilton-Jacobi-Bellman equation. Hybrid solut...